1-2(e+1)=4(2e-2)+11e

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Solution for 1-2(e+1)=4(2e-2)+11e equation:


Simplifying
1 + -2(e + 1) = 4(2e + -2) + 11e

Reorder the terms:
1 + -2(1 + e) = 4(2e + -2) + 11e
1 + (1 * -2 + e * -2) = 4(2e + -2) + 11e
1 + (-2 + -2e) = 4(2e + -2) + 11e

Combine like terms: 1 + -2 = -1
-1 + -2e = 4(2e + -2) + 11e

Reorder the terms:
-1 + -2e = 4(-2 + 2e) + 11e
-1 + -2e = (-2 * 4 + 2e * 4) + 11e
-1 + -2e = (-8 + 8e) + 11e

Combine like terms: 8e + 11e = 19e
-1 + -2e = -8 + 19e

Solving
-1 + -2e = -8 + 19e

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-19e' to each side of the equation.
-1 + -2e + -19e = -8 + 19e + -19e

Combine like terms: -2e + -19e = -21e
-1 + -21e = -8 + 19e + -19e

Combine like terms: 19e + -19e = 0
-1 + -21e = -8 + 0
-1 + -21e = -8

Add '1' to each side of the equation.
-1 + 1 + -21e = -8 + 1

Combine like terms: -1 + 1 = 0
0 + -21e = -8 + 1
-21e = -8 + 1

Combine like terms: -8 + 1 = -7
-21e = -7

Divide each side by '-21'.
e = 0.3333333333

Simplifying
e = 0.3333333333

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